document.write( "Question 159248: Seven years ago, Kodi found a box of old baseball cards in the garage. Since then, he has added a consistent number of cards to the collection each year. He had 52 cards in the colection after 3 years and now has 108 cards.\r
\n" ); document.write( "\n" ); document.write( "How many cards were in the original box?
\n" ); document.write( "Kodi plans to keep the collection for a long time. How many cards will the collection contain 10 years from now?
\n" ); document.write( "Write a rules that determines the number of cards in the collection after n years. What does each number in your rule represent? \n" ); document.write( "
Algebra.Com's Answer #117473 by ankor@dixie-net.com(22740)\"\" \"About 
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Seven years ago, Kodi found a box of old baseball cards in the garage. Since then, he has added a consistent number of cards to the collection each year. He had 52 cards in the collection after 3 years and now has 108 cards.
\n" ); document.write( "How many cards were in the original box?
\n" ); document.write( ":
\n" ); document.write( "The information given can be summarized:
\n" ); document.write( "After 3 yrs, he had 52 cards
\n" ); document.write( "After 7 yrs, he had 108 cards
\n" ); document.write( ":
\n" ); document.write( "Assign these values as follows:
\n" ); document.write( "x1 = 3; y1 = 52
\n" ); document.write( "x2 = 7; y2 = 108
\n" ); document.write( ":
\n" ); document.write( "Find the slope; m = \"%28%28y2-y1%29%29%2F%28%28x2-x1%29%29\"
\n" ); document.write( ";
\n" ); document.write( "m = \"%28%28108-52%29%29%2F%28%287-3%29%29\" = \"56%2F4\" = 14 is the slope
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\n" ); document.write( "Find the equation using the point/slope equation: y - y1 = m(x- x1)
\n" ); document.write( "y - 52 = 14(x - 3)
\n" ); document.write( "y - 52 = 14x - 42
\n" ); document.write( "y = 14x - 42 + 52
\n" ); document.write( "y = 14x + 10
\n" ); document.write( ":
\n" ); document.write( "\"How many cards were in the original box?\"
\n" ); document.write( "7 years ago x = 0, from the equation we can see that y = 10
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Kodi plans to keep the collection for a long time. How many cards will the collection contain 10 years from now?
\n" ); document.write( ":
\n" ); document.write( "Substitute 10 for x in our equation
\n" ); document.write( "y = 14(10) + 10
\n" ); document.write( "y = 150 cards in 10 years:
\n" ); document.write( ":
\n" ); document.write( "Write a rules that determines the number of cards in the collection after n years.
\n" ); document.write( "We can translate our equation to:
\n" ); document.write( "No. of cards = 14n + 10
\n" ); document.write( ":
\n" ); document.write( "What does each number in your rule represent?
\n" ); document.write( "For each increase in n we have 14 more cards \n" ); document.write( "
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